Multiple choice

Of the following quadratic equations, which is the one whose roots are $2$ and $-15$?

  1. $\displaystyle x^{2}-2x+15=0$
  2. $\displaystyle x^{2}+15x-2=0$
  3. $\displaystyle x^{2}+13x-30=0$
  4. $\displaystyle x^{2}-30=0$
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C Correct answer
Explanation

If roots are 2 and -15, the equation is (x-2)(x+15) = x^2 + 13x - 30 = 0.

AI explanation

Using the factored form of a quadratic equation, if the roots are 2 and -15, the equation is written as (x - 2)(x + 15) = 0. Expanding this product gives x squared plus 13x minus 30 equals 0. The equation with roots 2 and -15 is x squared plus 13x minus 30 equals zero.

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